You won't find any of the mentioned guitars for that kind of money I'm afraid.

Maybe a recent MIJ Tokai LS75 but I don't think those will be (much) better than a 2011-2011 Gibson LP '60s tribute. The tributes are pretty nice actually if you get 'vintage correct' hardware and 500k volume pots... I have a modded '60s tribute SG that I really like.

I'm pretty sure I can find as I have a couple of MIJs myself. There were 2-3 on reverb that sold in that price range. I have 2 high end Navigators that I use and three Tokais 1980 but never had an LP with P90s. I would prefer a vintage one though. And I'm not willing to spend 2000 euro on one.

Greco EG800GS, Greco EG56-60, Tokai LS70GT they seem to go around that price. It also depends on whom you're buying from. If directly from Yahoo Japan then for sure my budget is ok. Not for an ObG though. I know it ended around Y120.000 and then you have shipping, taxes, and profit.
I am not a collector neither a shop. I just don't want to buy a new guitar. I prefer it to be vintage, or maybe just used.